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Finding the Fourth Proportional to 12,678.56, 17,489.36 and 7,372.80

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Solution

The fourth proportional to 12,678.56, 17,489.36 and 7,372.80 is: 10,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.56 : 17,489.36 = 7,372.80 : x
  2. Step 2: Convert to fraction form
    12,678.56/17,489.36 = 7,372.80/x
  3. Step 3: Cross multiply
    12,678.56x = 17,489.36 × 7,372.80
  4. Step 4: Simplify right side
    12,678.56x = 128,945,553.41
  5. Step 5: Solve for x
    x = 128,945,553.41/12,678.56
  6. Step 6: Final answer
    x = 10,170.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.